Second order LDE operators

Hi there,
I have a question that states:
Obtain the general solution of by factorizing L into two first order linear operators.

My thoughts on what to do, is it divide through by t, then make = y, = y' and = y''.
That makes . Then solve for this first order DE. Once finding a solution to that DE, replace y'' with the answer, than solve the first order linear equation then.

Hi there,
I have a question that states:
Obtain the general solution of by factorizing L into two first order linear operators.

My thoughts on what to do, is it divide through by t, then make = y, = y' and = y''.
That makes . Then solve for this first order DE. Once finding a solution to that DE, replace y'' with the answer, than solve the first order linear equation then.